I try to use era-appropriate place names. Shifting boundaries, unsure dates and the overall complexity of the subject has made this an imperfectly achieved goal.
 
For example, here are the major historic jurisdictions of today's state of Delaware:
  • 1631-1631 : New Netherlands (colony lasted only one year)
  • 1638-1655 : New Sweden, Swedish North America
  • 1655-1664 : Delaware Colony, New Netherlands
  • 1664-1682 : Delaware Colony, British North America
  • 1682-1776 : Pennsylvania Colony, BNA
  • 1776-1787 : Delaware, USA
  • 1787-present : state of Delaware, USA

From the west, the state of Colorado:

  • c1542-1805 : Spanish North America
  • 1805-1812 : Louisiana Territory, French North America (east of continental divide)
  • 1805-1812 : Spanish North America (west of continental divide)
  • 1812-1821 : Missouri Territory, USA (roughly the northeast third)
  • 1812-1821 : Spanish North America (roughly the southwest two-thirds)
  • 1821-1850 : unorganized
  • 1850-1861 : Utah Territory, USA (west of continental divide)
  • 1850-1861 : New Mexico Territory, USA (south central)
  • 1850-1861 : unorganized (east of continental divide)
  • 1861-1876 : Colorado Territory, USA
  • 1876-present : state of Colorado, USA
American county boundaries present similar challenges. They change a lot. If it seems likely the reader would feel a place name is simply wrong, I use entries like "Marion (now Morrow) Co.".
 
Cemeteries are listed with current place names regardless of when the burial took place.